TSTP Solution File: ARI593_1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : ARI593_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 17:41:26 EDT 2023

% Result   : Theorem 3.64s 1.15s
% Output   : CNFRefutation 3.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ARI593_1 : TPTP v8.1.2. Released v5.1.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Aug 29 18:51:57 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.18/0.45  Running TFA theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.64/1.15  % SZS status Started for theBenchmark.p
% 3.64/1.15  % SZS status Theorem for theBenchmark.p
% 3.64/1.15  
% 3.64/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.64/1.15  
% 3.64/1.15  ------  iProver source info
% 3.64/1.15  
% 3.64/1.15  git: date: 2023-05-31 18:12:56 +0000
% 3.64/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.64/1.15  git: non_committed_changes: false
% 3.64/1.15  git: last_make_outside_of_git: false
% 3.64/1.15  
% 3.64/1.15  ------ Parsing...
% 3.64/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.64/1.15  
% 3.64/1.15  ------ Preprocessing... sup_sim: 1  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.64/1.15  
% 3.64/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.64/1.15  
% 3.64/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.64/1.15  ------ Proving...
% 3.64/1.15  ------ Problem Properties 
% 3.64/1.15  
% 3.64/1.15  
% 3.64/1.15  clauses                                 26
% 3.64/1.15  conjectures                             6
% 3.64/1.15  EPR                                     11
% 3.64/1.15  Horn                                    23
% 3.64/1.15  unary                                   21
% 3.64/1.15  binary                                  2
% 3.64/1.15  lits                                    34
% 3.64/1.15  lits eq                                 15
% 3.64/1.15  fd_pure                                 0
% 3.64/1.15  fd_pseudo                               0
% 3.64/1.15  fd_cond                                 0
% 3.64/1.15  fd_pseudo_cond                          2
% 3.64/1.15  AC symbols                              2
% 3.64/1.15  
% 3.64/1.15  ------ Input Options Time Limit: Unbounded
% 3.64/1.15  
% 3.64/1.15  
% 3.64/1.15  ------ 
% 3.64/1.15  Current options:
% 3.64/1.15  ------ 
% 3.64/1.15  
% 3.64/1.15  
% 3.64/1.15  
% 3.64/1.15  
% 3.64/1.15  ------ Proving...
% 3.64/1.15  
% 3.64/1.15  
% 3.64/1.15  % SZS status Theorem for theBenchmark.p
% 3.64/1.15  
% 3.64/1.15  % SZS output start CNFRefutation for theBenchmark.p
% 3.64/1.15  
% 3.64/1.15  tff(f1,conjecture,(
% 3.64/1.15    (p(7) & p(6) & p(5)) => ? [X0 : $int] : p($product(3,X0))),
% 3.64/1.15    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_X_in_5_6_7_div_3)).
% 3.64/1.15  
% 3.64/1.15  tff(f2,negated_conjecture,(
% 3.64/1.15    ~((p(7) & p(6) & p(5)) => ? [X0 : $int] : p($product(3,X0)))),
% 3.64/1.15    inference(negated_conjecture,[],[f1])).
% 3.64/1.15  
% 3.64/1.15  tff(f3,plain,(
% 3.64/1.15    ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.64/1.15    introduced(theory_axiom_138,[])).
% 3.64/1.15  
% 3.64/1.15  tff(f4,plain,(
% 3.64/1.15    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.64/1.15    introduced(theory_axiom_139,[])).
% 3.64/1.15  
% 3.64/1.15  tff(f14,plain,(
% 3.64/1.15    ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 3.64/1.15    introduced(theory_axiom_138,[])).
% 3.64/1.15  
% 3.64/1.15  tff(f15,plain,(
% 3.64/1.15    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 3.64/1.15    introduced(theory_axiom_139,[])).
% 3.64/1.15  
% 3.64/1.15  tff(f16,plain,(
% 3.64/1.15    ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 3.64/1.15    introduced(theory_axiom_140,[])).
% 3.64/1.15  
% 3.64/1.15  tff(f18,plain,(
% 3.64/1.15    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 3.64/1.15    introduced(theory_axiom_153,[])).
% 3.64/1.15  
% 3.64/1.15  tff(f21,plain,(
% 3.64/1.15    ! [X0 : $int] : ~p($product(3,X0)) & (p(7) & p(6) & p(5))),
% 3.64/1.15    inference(ennf_transformation,[],[f2])).
% 3.64/1.15  
% 3.64/1.15  tff(f22,plain,(
% 3.64/1.15    ! [X0 : $int] : ~p($product(3,X0)) & p(7) & p(6) & p(5)),
% 3.64/1.15    inference(flattening,[],[f21])).
% 3.64/1.15  
% 3.64/1.15  tff(f24,plain,(
% 3.64/1.15    p(6)),
% 3.64/1.15    inference(cnf_transformation,[],[f22])).
% 3.64/1.15  
% 3.64/1.15  tff(f26,plain,(
% 3.64/1.15    ( ! [X0 : $int] : (~p($product(3,X0))) )),
% 3.64/1.15    inference(cnf_transformation,[],[f22])).
% 3.64/1.15  
% 3.64/1.15  cnf(c_51,plain,
% 3.64/1.15      ($sum_int($product_int(X0_3,X1_3),$product_int(X0_3,X2_3)) = $product_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.64/1.15      inference(cnf_transformation,[],[f18])).
% 3.64/1.15  
% 3.64/1.15  cnf(c_53,plain,
% 3.64/1.15      ($product_int(X0_3,1) = X0_3),
% 3.64/1.15      inference(cnf_transformation,[],[f16])).
% 3.64/1.15  
% 3.64/1.15  cnf(c_54,plain,
% 3.64/1.15      ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 3.64/1.15      inference(cnf_transformation,[],[f15])).
% 3.64/1.15  
% 3.64/1.15  cnf(c_55,plain,
% 3.64/1.15      ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 3.64/1.15      inference(cnf_transformation,[],[f14])).
% 3.64/1.15  
% 3.64/1.15  cnf(c_65,plain,
% 3.64/1.15      ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.64/1.15      inference(cnf_transformation,[],[f4])).
% 3.64/1.15  
% 3.64/1.15  cnf(c_66,plain,
% 3.64/1.15      ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.64/1.15      inference(cnf_transformation,[],[f3])).
% 3.64/1.15  
% 3.64/1.15  cnf(c_67,negated_conjecture,
% 3.64/1.15      (~p($product_int(3,X0_3))),
% 3.64/1.15      inference(cnf_transformation,[],[f26])).
% 3.64/1.15  
% 3.64/1.15  cnf(c_69,negated_conjecture,(p(6)),inference(cnf_transformation,[],[f24])).
% 3.64/1.15  
% 3.64/1.15  cnf(c_1398,plain,
% 3.64/1.15      (~p($sum_int($product_int(3,X0_3),$product_int(3,X1_3)))),
% 3.64/1.15      inference(superposition,[status(thm)],[c_51,c_67])).
% 3.64/1.15  
% 3.64/1.15  cnf(c_2086,plain,
% 3.64/1.15      (~p($sum_int($product_int(3,X0_3),3))),
% 3.64/1.15      inference(superposition,[status(thm)],[c_53,c_1398])).
% 3.64/1.15  
% 3.64/1.15  cnf(c_2087,plain,
% 3.64/1.15      (~p($sum_int(3,$product_int(3,X0_3)))),
% 3.64/1.15      inference(theory_normalisation,
% 3.64/1.15                [status(thm)],
% 3.64/1.15                [c_2086,c_65,c_66,c_54,c_55])).
% 3.64/1.15  
% 3.64/1.15  cnf(c_2100,plain,
% 3.64/1.15      (~p($sum_int(3,3))),
% 3.64/1.15      inference(superposition,[status(thm)],[c_53,c_2087])).
% 3.64/1.15  
% 3.64/1.15  cnf(c_3570,plain,
% 3.64/1.15      (~p(6)),
% 3.64/1.15      inference(smt_theory_normalisation,[status(thm)],[c_2100])).
% 3.64/1.15  
% 3.64/1.15  cnf(c_3571,plain,
% 3.64/1.15      ($false),
% 3.64/1.15      inference(prop_impl_just,[status(thm)],[c_3570,c_69])).
% 3.64/1.15  
% 3.64/1.15  
% 3.64/1.15  % SZS output end CNFRefutation for theBenchmark.p
% 3.64/1.15  
% 3.64/1.15  
%------------------------------------------------------------------------------